Title: Universal Prime Number Distribution via Quantum Entanglement

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

The distribution of prime numbers, a fundamental aspect of number theory, has long been a subject of intense scrutiny and debate. Classical probability theory provides a framework for understanding this distribution, but it often fails to adequately capture the subtle and non-classical behavior observed in the real world. This paper proposes a novel approach utilizing quantum entanglement to investigate the prime number distribution, aiming to demonstrate a potential pathway to a more uniform and stable distribution than currently understood. Quantum entanglement offers a unique mechanism for creating interconnected clusters of primes, potentially offering a revolutionary perspective on this long-standing problem. We will explore the theoretical underpinnings of this concept, outlining the specific design of the entanglement process and its potential impact on the prime number distribution. The analysis will focus on establishing a robust framework for predicting and quantifying the distribution of prime numbers using this quantum-inspired approach. This investigation represents a significant step toward understanding the fundamental nature of prime numbers and may lead to advancements in diverse fields, including cryptography and number theory.

DOI: 10.5281/zenodo.22274331

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